{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.5.2\n"
     ]
    }
   ],
   "source": [
    "import paddle \n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "print(paddle.__version__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x19d6d47be80>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_points=np.linspace(0,60,600)\n",
    "dataset=np.sin(data_points)\n",
    "plt.plot(dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(5, 100, 1)\n",
      "(5, 100, 1)\n"
     ]
    }
   ],
   "source": [
    "time_steps=100\n",
    "input_size=1\n",
    "dataX,dataY=[],[]\n",
    "for i in range(500):\n",
    "    x=dataset[i]\n",
    "    y=dataset[i+1]\n",
    "    dataX.append(x)\n",
    "    dataY.append(y)\n",
    "dataX,dataY=np.array(dataX),np.array(dataY)\n",
    "dataX=np.reshape(dataX,(-1,time_steps,input_size))\n",
    "dataY=np.reshape(dataY,(-1,time_steps,input_size))\n",
    "print(dataX.shape)\n",
    "print(dataY.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataX=paddle.to_tensor(dataX,dtype='float32')\n",
    "dataY=paddle.to_tensor(dataX,dtype='float32')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "class rnn(paddle.nn.Layer):\n",
    "    def __init__(self):\n",
    "        super(rnn,self).__init__()\n",
    "        self.rnn=paddle.nn.SimpleRNN(1,128,2,activation=\"relu\")\n",
    "        self.fc=paddle.nn.Linear(in_features=128,out_features=1)\n",
    "        \n",
    "    def forward(self,x):\n",
    "        x,h=self.rnn(x)\n",
    "        x=self.fc(x)\n",
    "        return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x19d6dbbeeb8>]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model=rnn()\n",
    "out=model(dataX)\n",
    "data=np.reshape(out,(-1,))\n",
    "plt.plot(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_iterations=600\n",
    "learning_rate=0.0001\n",
    "model=rnn()\n",
    "opt=paddle.optimizer.Adam(learning_rate,parameters=model.parameters())\n",
    "mse_loss=paddle.nn.MSELoss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "99 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.01642733)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "199 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00361974)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "299 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00249512)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "399 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00174697)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "499 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00122077)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "599 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00083800)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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lPLJsB2vyK0numcCNF47kxgtH6ESyyAkoGCTmHD7SyAsf7OGx/95JfvlhstL78C9XTuQzOcNJ0iMuRdqkfyUSM6oO1bPwvV08+e4uyg8eYdqIfnz3ExOYOzFDvZFFToGCQbq88oNHeHTZDp56bzcH6hqYNX4QX545mvNHpke7NJEuScEgXdb+A3U8/LcdLHp/N4frG/nE2ZncPnMME4ekRLs0kS5NwSBdTuWhIzyybAdP/vcuDtc3cuW5Q/jqrDGMGZQc7dJEYoKCQbqMw0caefy/d/Kbtz+kpraBy8/J5JtzxioQRNqZgkE6vYbGEC/k5vOLN/Ioralj9vhB3HlpNhMydchIpCMoGKTTcnf+urWMn/7nZvJKDzBtRD9+df1UnVQW6WAKBumUtpXU8ONXNrEsbx8j+/fhN5+fxqWTBuuGdiJngIJBOpWqQ/U8+MY2Fr2/m6SeCfzgiol8/oIRJCbothUiZ4qCQTqFUMh5aWUB97+2hcpDR/jcjCzumJtNet/EaJcmEncUDBJ1m4uq+d4fN7BydwU5I/rxo6tmqC+CSBQpGCRqDh9p5KE3tvHoOztJ7d2Df/vMOXx66jC66fYVIlGlYJCoWJZXxnf+sJ788sNcd/5w7rlsPGl9dNhIpDNQMMgZVXW4nvte2cSLKws4a0Bfnl9wARec1T/aZYlIEwoGOWPe3FLCvS+vZ9+BI9w2czRfmz2WXj30CE2RzkbBIB2upraeH/0pvJeQPTiZR288n7OHpUa7LBFphYJBOtR7H+7nzhfXUlR1mNsvCe8l9EzQXoJIZ6ZgkA5R19DI//uvbTyybAcj0vvw4q0fYdqIftEuS0ROgoJB2t320gN8/fnVbCys5nMzsvje5RPok6i/aiJdhf61Srtxd174IJ9/+dNGevfozm9vmMalkzKiXZaInCIFg7SLA3UNfOfl9SxZW8hFY/rz82umMDilV7TLEpHToGCQiG0srOL2Z1axp/wQd358HF+eOYbu6r0s0mUpGCQiL3ywh+8v3ki/Pj147ksXMEOd1US6PAWDnJbDRxr5weINvLiygI+OGcBD101hQFLPaJclIu1AwSCnLL/8EP+8aCWbi6v52uyxfH32WB06EokhET39xMzSzex1M8sL3lu8UN3MXjOzSjN75bjxo8xseTD/C2amu6h1cn/bVsaVv3yHgopDPH7T+dwxd5xCQSTGRPpYrHuApe4+FlgaDLfk34AbWhj/APBgMH8FcHOE9UgHcXd+8/aH3PTECjJSevGnr36US7IHRbssEekAkQbDVcDC4PNC4JMtNXL3pUBN03EWfnjvLOCltuaX6Kqtb+QbL6zh/le3cNnZmbx820cY0b9vtMsSkQ4S6TmGwe5eBODuRWZ2Kv+F7A9UuntDMFwADG2tsZktABYAZGVlnWa5cqqKq2pZsCiXdQVV3HVpNrfNHE0400UkVrUZDGb2BtBS99XvRrjsln5dvLXG7v4w8DBATk5Oq+2k/awrqOSWhbkcrGvg4Rum8XH1YhaJC20Gg7vPaW2amZWYWWawt5AJlJ7CsvcBaWaWEOw1DAMKT2F+6UCvbSjiGy+soX/fnrx820VkZyRHuyQROUMiPcewBJgffJ4PLD7ZGd3dgbeAz5zO/NIx3J1f//VDbn16FRMyU/jj7QoFkXgTaTDcD8w1szxgbjCMmeWY2aNHG5nZMuBFYLaZFZjZpcGku4E7zGw74XMOj0VYj0SgoTHEd/6wgQde28KV5w7huS9dwMBkdVoTiTcRnXx29/3A7BbG5wK3NBm+uJX5dwDTI6lB2sfBuga+8uwq3tpaxm0zR3Pnx7Pppv4JInFJPZ+Fspo6vvjkB2wsrOInn5rM9TNGRLskEYkiBUOc27P/EDc8vpyS6loeuTGH2RMGR7skEYkyBUMc21hYxfzHP6AhFOLZL13A1Cw9elNEFAxxa/mO/dyyMJfkXgk8v+BCxgzSlUciEqZgiENLN5dw2zOrGNavN4tunsGQtN7RLklEOhEFQ5z54+q9fOvFtUwaksKTX5hOel/d0FZEmlMwxJFF7+/mB4s3MGNUOo/cmENyrx7RLklEOiEFQ5z47dsf8rNXtzB7/CB+df1UevXoHu2SRKSTUjDEOHfnwde38e9vbueKczJ58Nop9OgeaYd3EYllCoYY5u789D8388iynVyTM4yfXX2OnrYmIm1SMMSoUMj5lz9t5Kn3djP/whH88MpJusWFiJwUBUMMCoWc7/xhPc9/kM+Cj53FvZeN18N1ROSkKRhiTGPI+fZL6/j9qgK+OmsMd8wdp1AQkVOiYIghjSHnrhfX8vLqvXxzzji+PmdstEsSkS5IwRAjGhpDfOvFtSxeU8idHx/HV2YpFETk9CgYYkBDY4g7freWJWsL+fa8bG6bOSbaJYlIF6Zg6OIaQ86dL4ZD4e554/nyzNHRLklEujj1dOrCjp5T+OOaQu66NFuhICLtQsHQRYVCzr0vr+Pl1Xv51txx3H6JDh+JSPtQMHRB7s73F2/gd7kFfG32WL46WyeaRaT9KBi6GHfnX/+0iWeW7+HWfxjNN3VJqoi0MwVDF+Lu3P/aFp58dxdfvGgUd8/LVuc1EWl3CoYu5P+/uZ3fvr2D62dk8f0rJigURKRDKBi6iEeX7eDnr2/j6qlD+fFVkxUKItJhFAxdwHMr9nDfnzfzibMz+D+fPkd3SRWRDqVg6OSWrC3kO39Yz8zsgTx07Xkk6CE7ItLBIvqVMbN0M3vdzPKC936ttHvNzCrN7JXjxj9pZjvNbE3wmhJJPbHmzS0l3PHCGs4fmc6vr59GYoJCQUQ6XqS/NPcAS919LLA0GG7JvwE3tDLtLnefErzWRFhPzHh/x36+/PQqJmSm8Nj8HHon6hnNInJmRBoMVwELg88LgU+21MjdlwI1ES4rbmzYW8UtC3MZnt6HhV+cTnKvHtEuSUTiSKTBMNjdiwCC90Gn8R0/MbN1ZvagmfWMsJ4ub0fZAeY/voLU3j1YdPN00vsmRrskEYkzbd5d1czeADJamPTddlj+vUAxkAg8DNwN/KiVOhYACwCysrLaYdGdT1HVYW54bAUAi26eTmZq7yhXJCLxqM1gcPc5rU0zsxIzy3T3IjPLBEpPZeFH9zaAOjN7ArjzBG0fJhwe5OTk+KkspyuoPHSEGx9bQdXhep5fcAFnDUyKdkkiEqciPZS0BJgffJ4PLD6VmYMwwcK9tT4JbIiwni7p0JEGvvjkB+zef4hHbsxh8tDUaJckInEs0mC4H5hrZnnA3GAYM8sxs0ePNjKzZcCLwGwzKzCzS4NJz5jZemA9MAC4L8J6upz6xhC3PbOKNfmV/Ptnp3Dh6P7RLklE4lxET3Bz9/3A7BbG5wK3NBm+uJX5Z0Wy/K4uFHLufmkdf91axk8/dTbzJmdGuyQREfV8jqYHXtvCy6v3csfccXxuRmyeUBeRrkfBECWPLtvBb/+2gxsvHMFXZ+npayLSeSgYomDxmr3Hbor3wysn6U6pItKpKBjOsHfy9nHni2uZMSqdn18zhe66U6qIdDIKhjNow94q/nlRLqMHJvHI/Bx69dD9j0Sk81EwnCF79h/ipic+IK1PIgu/OJ0U3f9IRDqpiC5XlZOz/0Ad859YQUMoxPNfnMHglF7RLklEpFXaY+hgB+vCvZqLqg7z2PwcxgxKjnZJIiInpGDoQEd7Na/fW8UvPzuVaSPSo12SiEibdCipg7g79/x+PW9vK+P+q89mzsTB0S5JROSkaI+hgzzw2lZ+v6qAb84Zx3XT1atZRLoOBUMHeOydnfzm7Q/5/AVZfG22ejWLSNeiYGhni9fs5cevbOKyyRn86z9OVq9mEelyFAztaFle2bFezQ9eq17NItI1KRjayYa9Vdy6aKV6NYtIl6dgaAfq1SwisUSXq0ao/OAR9WoWkZiiYIhAXUMjC57KZW/lYZ770gz1ahaRmKBDSafJ3fn2S+vI3V3Bz685V72aRSRmKBhO0y+W5rF4TSF3XZrNFecMiXY5IiLtRsFwGv68roiH3sjj01OHcdvM0dEuR0SkXSkYTtH20hruemktU7PS+NnVZ6sDm4jEHAXDKaiprWfBopX0SezOf1w/jcQE/fGJSOzRVUkn6ejJ5t37D/H0zTPISNVlqSISm/Rf3pP0zPI9vLqhmLvnZXPh6P7RLkdEpMMoGE5CcVUt97+6hYvG9OdLF58V7XJERDqUgqEN7s73F2+gvjHETz+lk80iEvsiCgYzSzez180sL3jv10KbKWb2npltNLN1ZnZtk2mjzGx5MP8LZpYYST0d4bUNxby+qYQ75o5jRP++0S5HRKTDRbrHcA+w1N3HAkuD4eMdAm5090nAPOAhM0sLpj0APBjMXwHcHGE97arqUD0/WLKRSUNSuPmjo6JdjojIGRFpMFwFLAw+LwQ+eXwDd9/m7nnB50KgFBho4WMys4CXTjR/NP367Q/Zd6COBz59DgndddRNROJDpL92g929CCB4H3SixmY2HUgEPgT6A5Xu3hBMLgCGnmDeBWaWa2a5ZWVlEZbdtqpD9Tz9/m4uPzuTyUNTO3x5IiKdRZv9GMzsDSCjhUnfPZUFmVkmsAiY7+4ha/ksrrc2v7s/DDwMkJOT02q79vLku7s4UNfA7Zfomc0iEl/aDAZ3n9PaNDMrMbNMdy8KfvhLW2mXAvwZ+J67vx+M3gekmVlCsNcwDCg85TXoAAfrGnji3Z3MmTCICZkp0S5HROSMivRQ0hJgfvB5PrD4+AbBlUZ/AJ5y9xePjnd3B94CPnOi+aPhmeW7qTxUr70FEYlLkQbD/cBcM8sD5gbDmFmOmT0atLkG+Bhwk5mtCV5Tgml3A3eY2XbC5xwei7CeiNXWN/LIsp1cNKY/52X9r6tvRURiXkT3SnL3/cDsFsbnArcEn58Gnm5l/h3A9EhqaG8vr9pLWU0dv7huStuNRURikK7BPM6StXsZPbAvF56l+yGJSHxSMDSx/0AdK3aW84mzM3XrCxGJWwqGJl7fVELI4dJJLV2dKyISHxQMTby6oZjh6b2ZNESXqIpI/FIwBKoO1/Puh/u4bLIOI4lIfFMwBN7cUkJ9ozNvsg4jiUh8UzAEXl1fTEZKL6YMS2u7sYhIDFMwEL4Fxtvbypg3OYNu3XQYSUTim4IBeHtbGXUNIV2NJCKCggGAt7aUktanB9NHpUe7FBGRqFMwALm7K8gZkU53HUYSEVEw7DtQx859Bzl/pG6YJyICCgZW7q4AIEfBICICKBjI3VVOYkI3Pb5TRCSgYNhdwTlDU+mZ0D3apYiIdApxHQy19Y1s2FtFzkhdjSQiclRcB8Pa/ErqG52cETq/ICJyVFwHQ25w4nmagkFE5Ji4DoaVuysYPbAv/fomRrsUEZFOI26DIRRycneVc77OL4iINBO3wbC97ADVtQ06jCQicpy4DYbcXUc7tmmPQUSkqbgNhtV7Kkjvm8jI/n2iXYqISKcSt8FQUHGYkf376DGeIiLHidtgKKo6TGZa72iXISLS6cRlMLg7RVW1DEntFe1SREQ6nbgMhvKDR6hrCJGZqj0GEZHjRRQMZpZuZq+bWV7w/r+u/TSzKWb2npltNLN1ZnZtk2lPmtlOM1sTvKZEUs/JKqqqBWBImvYYRESOF+kewz3AUncfCywNho93CLjR3ScB84CHzCytyfS73H1K8FoTYT0n5WgwZGiPQUTkf4k0GK4CFgafFwKfPL6Bu29z97zgcyFQCgyMcLkRKao6DKBzDCIiLYg0GAa7exFA8D7oRI3NbDqQCHzYZPRPgkNMD5pZzxPMu8DMcs0st6ysLKKiCytr6dHdGJDU6uJEROJWm8FgZm+Y2YYWXledyoLMLBNYBHzB3UPB6HuB8cD5QDpwd2vzu/vD7p7j7jkDB0a2w1FUdZjBKb3o1k19GEREjpfQVgN3n9PaNDMrMbNMdy8KfvhLW2mXAvwZ+J67v9/ku4uCj3Vm9gRw5ylVf5rCl6rq/IKISEsiPZS0BJgffJ4PLD6+gZklAn8AnnL3F4+blhm8G+HzExsirOekhDu36fyCiEhLIg2G+4G5ZpYHzA2GMbMcM3s0aHMN8DHgphYuS33GzNYD64EBwH0R1tOmUMgprqpVHwYRkVYCL3cUAAAFS0lEQVS0eSjpRNx9PzC7hfG5wC3B56eBp1uZf1Ykyz8d+w7WUd/oZOqKJBGRFsVdz+fioA+DgkFEpGVxFwyFlUd7PetQkohIS+IuGI52btMeg4hIy+IwGGrpmdCN9L6J0S5FRKRTirtgKKw8TGZqLz2gR0SkFXEXDMVVtWToMJKISKviLhjU61lE5MTiKhgaQ05xda16PYuInEBcBUNZTR2NIVevZxGRE4irYCg8+hwG7TGIiLQqroLh772etccgItKauAqGwkp1bhMRaUtcBUNRVS29e3QntXePaJciItJpxVkwhJ/DoM5tIiKti+i2213NpCGpjOjfN9pliIh0anEVDLdfMibaJYiIdHpxdShJRETapmAQEZFmFAwiItKMgkFERJpRMIiISDMKBhERaUbBICIizSgYRESkGXP3aNdwysysDNh9mrMPAPa1YzldRTyudzyuM8TnemudT84Idx/YVqMuGQyRMLNcd8+Jdh1nWjyudzyuM8Tnemud25cOJYmISDMKBhERaSYeg+HhaBcQJfG43vG4zhCf6611bkdxd45BREROLB73GERE5AQUDCIi0kxcBYOZzTOzrWa23czuiXY9HcHMhpvZW2a22cw2mtnXg/HpZva6meUF7/2iXWt7M7PuZrbazF4JhkeZ2fJgnV8ws8Ro19jezCzNzF4ysy3BNr8w1re1mX0z+Lu9wcyeM7NesbitzexxMys1sw1NxrW4bS3s34PftnVmNjWSZcdNMJhZd+BXwGXAROCzZjYxulV1iAbgW+4+AbgAuD1Yz3uApe4+FlgaDMearwObmww/ADwYrHMFcHNUqupYvwBec/fxwLmE1z9mt7WZDQW+BuS4+2SgO3AdsbmtnwTmHTeutW17GTA2eC0Afh3JguMmGIDpwHZ33+HuR4DngauiXFO7c/cid18VfK4h/EMxlPC6LgyaLQQ+GZ0KO4aZDQMuBx4Nhg2YBbwUNInFdU4BPgY8BuDuR9y9khjf1oQfSdzbzBKAPkARMbit3f1vQPlxo1vbtlcBT3nY+0CamWWe7rLjKRiGAvlNhguCcTHLzEYC5wHLgcHuXgTh8AAGRa+yDvEQ8G0gFAz3ByrdvSEYjsXtfRZQBjwRHEJ71Mz6EsPb2t33Av8X2EM4EKqAlcT+tj6qtW3brr9v8RQM1sK4mL1W18ySgN8D33D36mjX05HM7Aqg1N1XNh3dQtNY294JwFTg1+5+HnCQGDps1JLgmPpVwChgCNCX8GGU48Xatm5Lu/59j6dgKACGNxkeBhRGqZYOZWY9CIfCM+7+cjC65OiuZfBeGq36OsBFwD+a2S7ChwhnEd6DSAsON0Bsbu8CoMDdlwfDLxEOilje1nOAne5e5u71wMvAR4j9bX1Ua9u2XX/f4ikYPgDGBlcvJBI+YbUkyjW1u+DY+mPAZnf/eZNJS4D5wef5wOIzXVtHcfd73X2Yu48kvF3fdPfrgbeAzwTNYmqdAdy9GMg3s+xg1GxgEzG8rQkfQrrAzPoEf9ePrnNMb+smWtu2S4Abg6uTLgCqjh5yOh1x1fPZzD5B+H+S3YHH3f0nUS6p3ZnZR4FlwHr+frz9O4TPM/wOyCL8j+uf3P34E1tdnpnNBO509yvM7CzCexDpwGrg8+5eF8362puZTSF8wj0R2AF8gfB/+GJ2W5vZvwLXEr4CbzVwC+Hj6TG1rc3sOWAm4dtrlwA/BP5IC9s2CMlfEr6K6RDwBXfPPe1lx1MwiIhI2+LpUJKIiJwEBYOIiDSjYBARkWYUDCIi0oyCQUREmlEwiIhIMwoGERFp5n8AMJeQBcZZW5AAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for iteration in range(n_iterations):\n",
    "    X_batch,Y_batch=dataX,dataY\n",
    "    out=model(X_batch)\n",
    "    avg_loss=mse_loss(out,Y_batch)\n",
    "    avg_loss.backward()\n",
    "    opt.step()\n",
    "    opt.clear_grad()\n",
    "    if(iteration+1)%100==0:\n",
    "        print(iteration,\"\\t MSE\",avg_loss)\n",
    "        prediction=np.reshape(out,(-1,))\n",
    "        plt.plot(prediction)\n",
    "        plt.title('After{}training,fitting result'.format(iteration))\n",
    "        plt.show()\n",
    "        \n",
    "        num_batches=X_batch.shape[0]\n",
    "        sequence=X_batch[num_batches-1,:,0].numpy().tolist()\n",
    "        \n",
    "        prediction_iter=100\n",
    "        for iteration in range(prediction_iter):\n",
    "            x_batch=np.array(sequence[-time_steps:]).reshape(1,time_steps,1)\n",
    "            x_batch=paddle.to_tensor(x_batch,dtype='float32')\n",
    "            y_pred=model(x_batch)\n",
    "            sequence.append(y_pred.numpy()[0,-1,0])\n",
    "            \n",
    "        plt.plot(sequence[-prediction_iter:])\n",
    "        plt.title('prediction'.format(iteration))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "paddle.save(model.state_dict(),'rnn.pdparams')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dloichMJfzlhXTy+/fKWQn2zKZ3x4GHdcOY+bVmRptU2RMUDhL2dk2+F6vvanXeyvbGbd/Gl886p5pMRODHZZIjJECn85Lc3tXdz57D4efvsIKTET+OXNOayZlxzsskTkNCn8ZcjeKKjltkd3Ut7YxscvmMEX18wiKlIfIZGxSH9z5ZTau3q467n9PPDaIWYkRvHop97Dkkx9oSsylin85aR2FjfwxUd2UFDdwi0rMvn3S+doLR6REKC/xTKorp5efrY5n3u2FDB1ciS/vXUZF2YnBrssEQkQhb/8gwOVzXzxkR3klTbxgfOm880r5xM7cXywyxKRAFL4y3E9vY77Xy3khy8cYHLkOP77o0tYt2BasMsSkWGg8Beg7yrd2x7dydtFdaydl8x/fOAcEqMjg12WiAwThb/HOef4/dvFfPfpPYSb8aMPnssHzpuu++eKhDiFv4dVNrXz7//zLlv2V3PB2Qncdd25TJ+iq3RFvEDh70HOOf7nnVK+/efddPb08q2r5nPT8kzdOF3EQxT+HlPe2MbX/rSLl/ZXc35WHN+/diEzk6KDXZaIjDCFv0c453gkt5jvPrWXrt5evnnlPG5ZkaWjfRGPUvh7wMGqo3zjyTxeL6hl2Yx47rpuIZkJUcEuS0SCSOEfwto6e/j5S/ls+GshE8eH851rFvCRpRk62hcRhX+o2rSnkm9u3E1pQxvXnpfGVy+bo/P2ReS4gIS/ma0DfgKEA/c55+4c8Hok8BCwBKgFrnfOFQWib/l7Byqb+d7Te3n5QDWzkqP54/rlLJuZEOyyRGSU8Tv8zSwcuAdYA5QAW81so3NuT79mtwL1zrmzzewG4PvA9f72LX9T3dzBj188wB+3HiE6chy3Xz6XW96TxfjwsGCXJiKjUCCO/JcCB51zhQBm9gfgaqB/+F8N3OF7/hjwczMz55wLQP+e1trZza9eK+IXLx2ko7uXm1dk8blV2cRFRQS7NBEZxQIR/tOB4n7bJcCyE7VxznWbWSOQANT0b2Rm64H1ABkZGQEoLXS1dHTzmzcP88u/FlLb0snaecl85dI5OmdfRIYkEOE/2KkjA4/oh9IG59wGYANATk6O/lUwiKMd3Tz4ehH3vVJIfWsXF2Un8vnV2SzJjA92aSIyhgQi/EuA9H7baUDZCdqUmNk4IBaoC0DfntHc3tUX+q8eoqG1i4tnJ/HZVdmcl6HbKYrI6QtE+G8Fss1sBlAK3ADcOKDNRuAW4A3gOuAvmu8fmsa2Ln79WhH3v1pIU3s3l8yZymdXZbMofUqwSxORMczv8PfN4f8r8Dx9p3o+4JzbbWbfBnKdcxuB+4HfmNlB+o74b/C331DX2NrFA68d4oHXDtHc3s3qucl8blU256TFBrs0EQkBATnP3zn3DPDMgH3f6Pe8HfhgIPoKdc3tXdz/6iHuf+UQzR3drJ2XzGdXZbNgukJfRAJHV/iOEu1dPTz0RhH/taWA+tYu1s5L5vOrZzEvNSbYpYlICFL4B1lPr+PR3GJ+/OIBqpo7uCg7kdvWzuZczemLyDBS+AdRblEdd/x5N3mlTSzJjONnH16spRhEZEQo/IOgurmD7z29hyd2lDEtZgI/uWERV52bqvvmisiIUfiPoGO3T/zOU3to6+zhM5eczacvPotJEfrPICIjS6kzQorrWvna47t4Jb+GnMw47rx2IWdP1VIMIhIcCv9h5pzj8e2l/L8n8gD4ztXz+cgy3SxdRIJL4T+Mmtq7uP3xPDbuLGNpVjw/vv5c0uImBbssERGF/3B550g9n3l4OxVN7XxpzSz+7/vOJlxH+yIySij8h8HDbx3hmxvzSI6ZwKOfWqHF10Rk1FH4B1BHdw93bNzN798u5qLsRH724cVMmaSbqojI6KPwD5Caox188qFcth9p4NMXn8Vta2drmkdERi2FfwAU17Vy0/1vUdHUzj03nsflC1OCXZKIyEkp/P10uLaFD937Bm2dPfzuE8t0Ry0RGRMU/n4ob2zjI/e9RUd3L498agVzpmkFThEZG8KCXcBY1dTexc33v01DaxcPfXypgl9ExhSF/xno6XV89vfbOVTTwoabl7AwTcsvi8jYommfM3DX8/vYsr+a7/3TAt5zVmKwyxEROW068j9NW/ZXce/Lhdy4LIOPLMsMdjkiImdE4X8aqprbue3RncxOnsw3rpgX7HJERM6Ypn2GyDnH1/6UR3N7Nw9/cjkTxocHuyQRkTOmI/8hejavgk17K/nimlnMSp4c7HJERPyi8B+CxtYuvrlxN/NTY7j1whnBLkdExG+a9hmCuzcfoPZoB7/62PmMC9f/L0Vk7FOSnUJh9VF+88Zhrj8/nQXTY4NdjohIQCj8T+HOZ/cROS6ML6yZFexSREQCRuF/EtsO1/HCnko+ffFZTJ08IdjliIgEjML/JO7elE9idAQf15e8IhJiFP4nsO1wHa/k17B+5UwmReh7cREJLQr/E7h7Uz4JURF8dLmWcBCR0ONX+JtZvJm9aGb5vsdB71RuZs+ZWYOZPeVPfyMlr7SRV/Jr+MRFOuoXkdDk75H/V4DNzrlsYLNvezA/AG7ys68R88Crh5gUEc6NyzKCXYqIyLDwN/yvBh70PX8QuGawRs65zUCzn32NiMqmdjbuLONDOenEThwf7HJERIaFv+Gf7JwrB/A9TvXnzcxsvZnlmlludXW1n6WdmYfeKKLHOf75gqyg9C8iMhJOOaFtZpuAaYO89PVAF+Oc2wBsAMjJyXGBfv9Taevs4XdvHWHN3GQyE6JGunsRkRFzyvB3zq0+0WtmVmlmKc65cjNLAaoCWt0Ie2JHKQ2tXVq8TURCnr/TPhuBW3zPbwGe9PP9guoPbx9hdvJkls6ID3YpIiLDyt/wvxNYY2b5wBrfNmaWY2b3HWtkZq8AjwKrzKzEzN7vZ78Bt6esiZ0ljVx/fjpmFuxyRESGlV8nsTvnaoFVg+zPBT7Rb/sif/oZCY/kFhMRHsY/LZ4e7FJERIadrvAF2rt6+NM7Jbx/wTTioiKCXY6IyLBT+APP766gqb2bG85PD3YpIiIjQuEP/HFrMenxE1kxMyHYpYiIjAjPh39ZQxuvF9Ry3XnphIXpi14R8QbPh//GnWUAXLM4NciViIiMHM+H/xPbSzkvY4qu6BURT/F0+O8tb2JfRTPX6PROEfEYT4f/EztKGRdmXH5OSrBLEREZUZ4N/95ex8YdZayclURCdGSwyxERGVGeDf+3i+oob2zXlI+IeJJnw//pd8uZMD6M1XP9ugWBiMiY5Mnw7+l1PLe7gkvmTNU9ekXEkzwZ/tsO11Pd3MGlC/RFr4h4kyfD/5ld5USOC+N9czTlIyLe5Lnw7+11PJdXwXtnJREdqSkfEfEmz4X/9uIGKprauUzn9ouIh3ku/J/ZVU5EeBirdJaPiHiYp8LfOcezu8pZOSuRyRPGB7scEZGg8VT47yxppKyxXWf5iIjneSr8n91VzvhwY/Xc5GCXIiISVJ4Jf+ccz+SVc8HZicRO0pSPiHibZ8J/T3kTxXVtXLpgWrBLEREJOs+E//N5FYQZmvIREcFL4b+7kpyseC3fLCKCR8K/qKaF/ZXNvH++pnxERMAj4f/87goA1s7TlI+ICHgo/OenxpAePynYpYiIjAohH/6VTe28c6SBdZryERE5LuTDf/PeKgDWKvxFRI4L+fB/vaCGaTETmJUcHexSRERGjZAOf+ccbxbWsXxmPGYW7HJEREYNv8LfzOLN7EUzy/c9xg3SZpGZvWFmu83sXTO73p8+T0dBdQs1RztYPjNhpLoUERkT/D3y/wqw2TmXDWz2bQ/UCtzsnJsPrAPuNrMpfvY7JG8W1gIo/EVEBvA3/K8GHvQ9fxC4ZmAD59wB51y+73kZUAUk+dnvkGwtqiM5JpLMBJ3iKSLSn7/hn+ycKwfwPZ709lhmthSIAApO8Pp6M8s1s9zq6mo/S4P9Fc3MT43VfL+IyACnvIO5mW0CBjtP8uun05GZpQC/AW5xzvUO1sY5twHYAJCTk+NO5/0H6urppaD6KBfP1u0aRUQGOmX4O+dWn+g1M6s0sxTnXLkv3KtO0C4GeBq43Tn35hlXexqKalro6nHMnqZTPEVEBvJ32mcjcIvv+S3AkwMbmFkE8DjwkHPuUT/7G7JDNS0AzExU+IuIDORv+N8JrDGzfGCNbxszyzGz+3xtPgSsBD5mZjt8P4v87PeUyhraAEidMnG4uxIRGXNOOe1zMs65WmDVIPtzgU/4nv8W+K0//ZyJ8sZ2IsaFkRAVMdJdi4iMeiF7hW9pQxupsRMIC9OZPiIiA4Vs+Jc3tpMSqykfEZHBhGz4VzS2kxI7IdhliIiMSiEb/rUtHSREa75fRGQwIRn+rZ3dtHf1Eh+lm7WLiAwmJMO/9mgngI78RUROIDTDv8UX/jrNU0RkUCEZ/nUtHQDEK/xFRAYVkuF/fNpHc/4iIoMKyfCvb+0L/3jN+YuIDCokw/9oRw8AURHhQa5ERGR0Csnwb+/qYeL4cN3ERUTkBEIy/Fs7u5moo34RkRMKyfBv6+xl4niFv4jIiYRk+Ld39ejIX0TkJEIy/Fs7u3XkLyJyEiEZ/m068hcROakQDX/N+YuInExohr+mfURETio0w1/TPiIiJxWa4d+p8BcROZnQDX9N+4iInFDIhb9zrm/aR+EvInJCIRf+Hd299Do07SMichIhF/7tXX0reurIX0TkxEIu/A3j8oUpnDU1OtiliIiMWuOCXUCgxU4azz03nhfsMkRERrWQO/IXEZFTU/iLiHiQwl9ExIP8Cn8zizezF80s3/cYN0ibTDPbZmY7zGy3mX3Knz5FRMR//h75fwXY7JzLBjb7tgcqB97jnFsELAO+YmapfvYrIiJ+8Df8rwYe9D1/ELhmYAPnXKdzrsO3GRmAPkVExE/+BnGyc64cwPc4dbBGZpZuZu8CxcD3nXNlfvYrIiJ+OOV5/ma2CZg2yEtfH2onzrliYKFvuucJM3vMOVc5SF/rgfUAGRkZQ317ERE5TeacO/M/bLYfuNg5V25mKcAW59zsU/yZXwFPO+ceO0W7auDwGRcHiUCNH39+LNKYvUFj9oYzHXOmcy7pVI38vcJ3I3ALcKfv8cmBDcwsDah1zrX5zga6APjxqd54KMWfjJnlOudy/HmPsUZj9gaN2RuGe8z+zvnfCawxs3xgjW8bM8sxs/t8beYCb5nZTuBl4IfOuV1+9isiIn7w68jfOVcLrBpkfy7wCd/zF4GF/vQjIiKBFcqnXW4IdgFBoDF7g8bsDcM6Zr++8BURkbEplI/8RUTkBBT+IiIeFHLhb2brzGy/mR00s8HWGhqTzOwBM6sys7x++wZdWM/6/NT3O3jXzMbk3W18V4a/ZGZ7fYsCfs63P2THbWYTzOxtM9vpG/O3fPtnmNlbvjH/0cwifPsjfdsHfa9nBbN+f5hZuJltN7OnfNshPWYzKzKzXb5FL3N9+0bssx1S4W9m4cA9wKXAPODDZjYvuFUFzK+BdQP2nWhhvUuBbN/PeuC/RqjGQOsGvuScmwssB/7F998zlMfdAVzinDsXWASsM7PlwPeB//SNuR641df+VqDeOXc28J++dmPV54C9/ba9MOb3OecW9Tuff+Q+2865kPkBVgDP99v+KvDVYNcVwPFlAXn9tvcDKb7nKcB+3/N7gQ8P1m4s/9B3EeEar4wbmAS8Q99quDXAON/+459z4Hlghe/5OF87C3btZzDWNF/YXQI8BZgHxlwEJA7YN2Kf7ZA68gem07d43DElvn2h6kQL64Xc78H3T/vFwFuE+Lh90x87gCrgRaAAaHDOdfua9B/X8TH7Xm8EEka24oC4G/gy0OvbTiD0x+yAF3z3O1nv2zdin+1Qu4G7DbLPi+eyhtTvwcyigf8BPu+cazIbbHh9TQfZN+bG7ZzrARaZ2RTgcfqukv+HZr7HMT9mM7sCqHLObTOzi4/tHqRpyIzZ5wLnXJmZTQVeNLN9J2kb8DGH2pF/CZDebzsNCOXloyt9C+rhe6zy7Q+Z34OZjacv+H/nnPuTb3fIjxvAOdcAbKHv+44pZnbsYK3/uI6P2fd6LFA3spX67QLgKjMrAv5A39TP3YT2mHG+pe2dc1X0/U8598P0AAABL0lEQVR+KSP42Q618N8KZPvOEogAbqBv8blQdWxhPfj7hfU2Ajf7zhBYDjQe+6fkWGJ9h/j3A3udc/0XAwzZcZtZku+IHzObCKym70vQl4DrfM0GjvnY7+I64C/ONyk8VjjnvuqcS3POZdH3d/YvzrmPEMJjNrMoM5t87DmwFshjJD/bwf7SYxi+RLkMOEDfPOnXg11PAMf1e/puidlF31HArfTNc24G8n2P8b62Rt9ZTwXALiAn2PWf4ZgvpO+ftu8CO3w/l4XyuOlbB2u7b8x5wDd8+2cCbwMHgUeBSN/+Cb7tg77XZwZ7DH6O/2LgqVAfs29sO30/u49l1Uh+trW8g4iIB4XatI+IiAyBwl9ExIMU/iIiHqTwFxHxIIW/iIgHKfxFRDxI4S8i4kH/C7O8Xp4CkCzSAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model=rnn()\n",
    "\n",
    "params_file_path='rnn.pdparams'\n",
    "param_dict=paddle.load(params_file_path)\n",
    "model.load_dict(param_dict)\n",
    "\n",
    "num_batches=dataX.shape[0]\n",
    "sequence=dataX[num_batches-1,:,0].numpy().tolist()\n",
    "\n",
    "prediction_iter=500\n",
    "for iteration in range(prediction_iter):\n",
    "    x_batch=np.array(sequence[-time_steps:]).reshape(1,time_steps,1)\n",
    "    x_batch=paddle.to_tensor(x_batch,dtype='float32')\n",
    "    y_pred=model(x_batch)\n",
    "    sequence.append(y_pred.numpy()[0,-1,0])\n",
    "    \n",
    "plt.plot(sequence[-prediction_iter:])\n",
    "plt.title('预测结果'.format(iteration))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
